Search a number
-
+
10112324300 = 22521319939089
BaseRepresentation
bin10010110101011110…
…11101001011001100
3222002202010022002122
421122233131023030
5131202223334200
64351234112112
7505410224021
oct113257351314
928082108078
1010112324300
11431a163a11
121b6271b638
13c52057760
146bd041548
153e2b99385
hex25abdd2cc

10112324300 has 72 divisors (see below), whose sum is σ = 23751084000. Its totient is φ = 3714923520.

The previous prime is 10112324219. The next prime is 10112324303. The reversal of 10112324300 is 342321101.

It is not an unprimeable number, because it can be changed into a prime (10112324303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 239156 + ... + 278244.

Almost surely, 210112324300 is an apocalyptic number.

10112324300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10112324300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11875542000).

10112324300 is an abundant number, since it is smaller than the sum of its proper divisors (13638759700).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10112324300 is a wasteful number, since it uses less digits than its factorization.

10112324300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39315 (or 39308 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 10112324300 its reverse (342321101), we get a palindrome (10454645401).

The spelling of 10112324300 in words is "ten billion, one hundred twelve million, three hundred twenty-four thousand, three hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 199 260 325 398 650 796 995 1300 1990 2587 3980 4975 5174 9950 10348 12935 19900 25870 39089 51740 64675 78178 129350 156356 195445 258700 390890 508157 781780 977225 1016314 1954450 2032628 2540785 3908900 5081570 7778711 10163140 12703925 15557422 25407850 31114844 38893555 50815700 77787110 101123243 155574220 194467775 202246486 388935550 404492972 505616215 777871100 1011232430 2022464860 2528081075 5056162150 10112324300